# Even and odd

**Calculus**Level 3

Given that \(f(x)=\ln { x } \) and \(g(x)=\dfrac { \ln { x } +\ln { \left( x+2 \right) } }{ \ln { \left( x+1 \right) } +\ln { \left( x+3 \right) } } \), find \( \displaystyle \lim _{ x\to { 0 }^{ + } }{ \frac { f\left( x \right) }{ g\left( x \right) } } \).